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Sir William Rowan Hamilton invented the linear equation in 1843.
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William Rowan Hamilton invented or discovered Linear equation. Which these equation describe mechanics in three dimensional space.
Equations are not linear when they are quadratic equations which are graphed in the form of a parabola
They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.
Linear equations are a small minority of functions.
Most functions are not like linear equations.
No, linear equations don't have x2. Equation with x and y are usually linear equations. Equations with either x2 or y2 (but never both) are usually quadratic equations.